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Math

Trapezoid Area Calculator

Find a trapezoid's area instantly from two parallel sides and height

Formula

Area = ((a + b) / 2) × h

a and b are the two parallel sides (bases); h is the perpendicular height between them.

Required Measurements

Optional: add leg lengths to calculate perimeter

Results

Area32square units((10 + 6) / 2) × 4
Area32 sq units
Midsegment (median)8 units
Parallel side a10 units
Parallel side b6 units
Height h4 units

Step-by-step

  1. 1Add the two parallel sides: 10 + 6 = 16
  2. 2Divide by 2 (average of the bases): 16 ÷ 2 = 8
  3. 3Multiply by height: 8 × 4 = 32

Key Facts

Area formula
Area = ((a + b) / 2) × h — the average of the two parallel sides times the perpendicular height.
Midsegment
The line connecting midpoints of the two legs; its length equals (a + b) / 2, same as the factor in the area formula.
Perpendicular height
The straight-line distance between the two parallel sides — not the slant length of a leg.
Special cases
When a = b the trapezoid becomes a parallelogram (area = base × height). When one base = 0 it becomes a triangle (area = ½ × base × height).
About

A trapezoid area calculator saves you from doing the arithmetic by hand. Just enter the two parallel sides (bases) and the perpendicular height, and the tool applies the standard formula — Area = ((a + b) / 2) × h — in an instant. Get the area, midsegment length, and optional perimeter with a clear step-by-step breakdown, all in one free online calculator.

FAQ
What is the formula for the area of a trapezoid?+

The area of a trapezoid equals the average of its two parallel sides multiplied by the perpendicular height: Area = ((a + b) / 2) × h. Here a and b are the lengths of the two parallel sides (bases) and h is the vertical distance between them.

What is the difference between height and slant side in a trapezoid?+

The height (h) is the perpendicular distance between the two parallel sides — measured at a right angle. The slant sides (legs) are the non-parallel sides that connect the bases at an angle. The area formula uses the perpendicular height, not the leg length.

What is the midsegment of a trapezoid?+

The midsegment (or median) connects the midpoints of the two non-parallel legs. Its length equals the average of the two bases: (a + b) / 2. This is also the factor you multiply by the height to get the area.

Can I calculate the perimeter of a trapezoid with this tool?+

Yes — expand the optional section and enter the lengths of both legs (the non-parallel sides). The tool will then calculate the full perimeter as a + b + c + d, where c and d are the leg lengths.

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